Question

If
5x-2y= 25 and 2x-y=11
then find the value of x-y​

Answer 1

Answer:

Solution :

Using this method, the two equations are reduced to a single variable equation by substituting the value of one variable obtained from one equation in the other equation. <br> Step 1: Using the first equation, find x in terms of y. <br> i.e.,

<br>

<br> Step 2: Substituting the value of x in the equation (2) to find the value of

, i.e.,

. <br>

<br> Step 3 : Simplify the equation in terms of

and find the value of y. <br>

<br>

<br>

<br>

<br>

<br> Step 4: Substituting the value of y obtained in step (3) in equation (1) or (2), we get x =3. <br>

The solution for the given pair of equations is x =3 and y =-1

Answer 2

Hence value of x - y is - 2